Cleft Extensions of Hopf Algebras, II

Let K be a p-adic field, let G and U be groups of order p, and let D (respectively M) be a Hopf order in the group algebra KG (respectively in the algebra of maps U→K). We use the algebraic machinery of [2] to determine the cleft Hopf algebra extensions of M by D, and investigate which of these cleft extensions are Hopf orders in a group algebra